Assume we are using the 14-bit simple model for floating-point representation. Show how the computer would represent the number 0.3(base 10) using this floating-point format.
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Assume we are using the 14-bit simple model for floating-point representation. Show how the computer would represent the number 0.3(base 10) using this floating-point format.
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- Data represented in ________ is transmitted accurately between computer equipment from different manufacturers if each computer’s CPU represents real numbers by using an IEEE standard notation.1. Write down the mathematical notation for fixed point representationand floating representation and also explain each term. 2. Consider the following machine number in 64 bit and Precisely represent the above machine number in decimal digits. 0 10000000011 1011100100010000000000000000000000000000000000000000Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert -43.0735 to the floating-point binary representation. (Remember we learned "implied one" format in the lecture)
- Please answer parts a, b, and c of this question. Assume we are using the simple model for floating-point representation as given in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number): a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format. b) Show how the computer would add the two floating-point numbers in Part a by changing one of the numbers so they are both expressed using the same power of 2. c) Show how the computer would represent the sum in Part b using the given floating-point representation. What decimal value for the sum is the computer actually storing? Explain.1. Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number) Convert -123.075 to the floating-point binary representation. 2. a) What is "Approximation Error" in floating-point representation? b) Why is it happening? c) How can we minimize it? d) How can the character codes be a solution for this?Assume we are using the simple model for floating-pointrepresentation as given in the text (the representation uses a 14-bitformat, 5 bits for the exponent with a bias of 15, a normalizedmantissa of 8 bits, and a single sign bit for the number):1. a) Show how the computer would represent the numbers100.0 and 0.25 using this floating-point format.2. b) Show how the computer would add the two floating-pointnumbers in Part a by changing one of the numbers so theyare both expressed using the same power of 2. c) Show how the computer would represent the sum in Partb using the given floating-point representation. Whatdecimal value for the sum is the computer actually storing?Explain.
- J - For the IEEE 754 single-precision floating point, what is the number, as written in binary scientific notation, whose hexadecimal representation is the following? FF80 0000I - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal value: 0.5Answer the following questions on floating-point representation: a) Convert AD510010 16 to an IEEE single-precision floating-point number b) Convert the following IEEE single-precision floating-point number to a decimal number: 10111111110100000000000000000000
- What are the differences between 64-bit and 128-bit floating-point representations? "Let's look at one example."Please written by computer source Assume a floating-point representation on 14-bits including a sign bit, 5 bits for the exponent with a bias of 15, and a normalized significand on 8 bits (in the format 0.1xxx…, where the 0. is implied). Represent the number -20.25 in this format. Represent the number 0.15 in this format. step by step please.What do you know about 64 bits and 128 bits floating-point representation? Discuss with an example".